286400640 has 128 divisors (see below), whose sum is σ = 934401600. Its totient is φ = 74575872.

The previous prime is 286400593. The next prime is 286400651. The reversal of 286400640 is 46004682.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 286400598 and 286400607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80826 + ... + 84294.

Almost surely, 2^286400640 is an apocalyptic number.

286400640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467200800).

286400640 is an abundant number, since it is smaller than the sum of its proper divisors (648000960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

286400640 is a wasteful number, since it uses less digits than its factorization.

286400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 286400640 is about 16923.3755498128. The cubic root of 286400640 is about 659.1607330429.

The spelling of 286400640 in words is "two hundred eighty-six million, four hundred thousand, six hundred forty".